Given function:
g(x) = 5x + 3Find
g(r+5)Substitute x with r = 5:
g(r + 5) = 5(r + 5) + 3 = 5r + 25 + 3 = 5r + 28
Answer:
G ( r + 5 ) = 5r + 28
Step-by-step explanation:
Given ;
G ( x ) = 5x + 3
To Find :-
G ( r + 5 )
Solution :-
plug r + 5 as x in the function.
G ( r + 5 ) = 5 ( r + 5 ) + 3distribute 5
G ( r + 5 ) = 5r + 25 + 3combine like terms
G ( r + 5 ) = 5r + 28Find the value of x and y in the following figure
Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
\sqrt{2x+1} = 2+\sqrt{x-3}
Answer:
Square both sides
√(2x+1)=2+√(x-3)
or, 2x+1=(2+√(x-3))²
solving it you'll get two values of x, which are,
x = 4 and x = 12
Answer:
Hello,
x=4 or x=12
Step-by-step explanation:
[tex]\sqrt{2x+1} =2+\sqrt{x-3} \\\\2x+1=4+4\sqrt{x-3} +(x-3)\\\\2x+1-x+3-4=4\sqrt{x-3} \\\\x=4\sqrt{x-3} \\\\ x^2-16x+48=0\\\\\Delta=16^2-4*48=64=8^2\\\\x=\dfrac{16-8}{2} \ or x=\dfrac{16+8}{2}\\\\x=4 \ or\ x=12\\\\Since \ we\ have \ squared \ we\ must\ verify\ the \ solutions\ found:\\\\x=4 \Longrightarrow \sqrt{2*4+1} =? 2+\sqrt{4-3} \Longrightarrow 3 =? 2+1 \\\\x=12 \Longrightarrow \sqrt{2*12+1} =? 2+\sqrt{12-3} \Longrightarrow 5 =? 2+3 \\\\[/tex]
I need help I don't understand this.
Answer:
gmvlɛpuyhgn
gteeyolpp
jwjvy
Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)
Find the coordinates of the missing endpoint if E is the midpoint of DF.
D(-3,-8), E(1,-2)
Answer:
F(5;4)
Step-by-step explanation:
Call F(x;y)
cuz E is the midpoint so we have a formula:
(-3+x)/2=1 -> x=5
(-8+y)/2=-2 -> y= 4
so F(5;4)
which equation shows 2.4 as the constant of proportionality?
Answer:
c a = 2.4b
Step-by-step explanation:
y = kx is the form of the equation where k is the constant of proportionality
y and x can be any letters
Replacing y and x with a and b and k with 2.4
a = 2.4b
Find the value of x for which the lines a and bare parallel.
Answer:
B
Step-by-step explanation:
The two angles are alternate interior angles. The have to be equal.
7x + 15 = 148 Subtract 15 from both sides
7x = 148 - 15
7x = 133 Divide by 7
x = 133/7
x = 19
B
who can help me PLEASE
Instruction find the measure of the missing angles in the kite
Both the angles will be 105°
Just add up the given angles, subtract the result by 360, and divide by 2.
x^2-4x^2y^2+y^2+2*x*y
Answer:
(x + y - 2xy)*(x + y + 2xy)
Step-by-step explanation:
x^2-4x^2y^2+y^2+2*x*y
=x^2 + 2xy + y^2 - (2xy)^2
=(x + y)^2 - (2xy)^2
=(x + y - 2xy)*(x + y + 2xy)
what is the point-slope equation of a line with slope-4 that contains the point (-2 7)\
Answer:
y - 7 = -4 (x + 2)
Step-by-step explanation:
y - 7 = -4 (x + 2)
Which could be the first step in simplifying this expression? Check all that apply.
Answer:
[tex](x^{-3})^2[/tex]
Step-by-step explanation:
applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents
What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?
Answer:
(x-3)(5x+4)
x=3 x=-4/5
Answer:
(5x + 4)(x - 3)
Step-by-step explanation:
Hello!
Factor:
5x² - 11x - 12Think: What two numbers add up to -11 but multiply to (5)(-12)?
Answer: -15 and 4
Continue:
5x² - 11x - 125x² - 15x + 4x - 12 Expand with the values we found5x(x - 3) + 4(x - 3) Factor by grouping(5x + 4)(x - 3)The factored expression is (5x + 4)(x - 3)
i need help with this question pls! :)
Hi there!
[tex]\large\boxed{\text{9 quarters}}[/tex]
We can let x = dimes and y = quarters.
We know that one dime = $0.10 and a quarter = $0.25, so:
$3.05 = $0.10x + $0.25y
And:
17 = x + y
Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:
17 - x = y
Substitute this into the top equation for y:
3.05 = 0.10x + 0.25(17 - x)
Distribute and simplify:
3.05 = 0.10x + 4.25 - 0.25x
3.05 = 4.25 - 0.15x
Solve for x:
-1.2 = -0.15x
x = 8
Find y using the above expression:
17 - 8 = y
y = 9
Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12
Answer: x>12
so i think x is 16.
[tex]5^{-3}[/tex] rewrite as an equivalent expression
Answer:
the equivalent equation of
[tex]5^{-3}[/tex]=[tex]\frac{1}{5^{3}}=\frac{1}{125}[/tex]
Determine the measure of the interior angle at vertex F
Answer:
72
Step-by-step explanation:
The interior angles of a 6 sided figure add to (n-2) * 180
where n is the number of sides
(6-2) *180
4*180
720
2x+4x+4x+4x+4x+2x = 720
20x = 720
Divide by 20
20x/20 = 720/20
x =36
We want <F
<F = 2x = 2*36 = 72
If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°
Answer:
80°
Step-by-step explanation:
m<COB = 80°, it's the central angle for arc CB,
so mCB = 80°
In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60
We know at centroid medians bisect each other in the ratio 2:1.
TY=30Let YW be x[tex]\\ \sf\longmapsto TY=2x[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
Answer:
A
Step-by-step explanation:
On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then
YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15
Simplify
1/2 - 3 (1/2 + 1)*
Enter your answer in the box as a fraction in simplest form.
&
Answer:
Final answer is ---> -4
Step-by-step explanation:
Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq
Answer:
8r+8pg-pq
Step-by-step explanation:
The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg
Hope this helps!
I am struggling with this question anyone help
9514 1404 393
Answer:
b, c
Step-by-step explanation:
The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.
y = (x -3)/(x -9) . . . . . . x ≠ -7
The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.
The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).
__
The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.
__
The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.
The appropriate descriptors are ...
Asymptote: x=9, y=1Hole: x=-7Lucy drove 200 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 420 miles
Answer:
18.9
Step-by-step explanation:
if 200miles = 9gallons
then 420miles = ?
note:if more less divide and if less more divide.
so it is 420/200×9=18.9
Answer choices:
A. 216
B. 367.2
C. 297.4
D. 432
pls help me!!
Answer:
216
Step-by-step explanation:
Volume of prism = BH
B -> Base area
Area of base:
b = 10 mi
h = 3.6mi
Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]
[tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]
H = 12 mi
Volume of prism = 18 * 12 = 216 cubic mi
Divide. Write your answer as a decimal.
8.722÷(−3.56)=
Answer:
-2.45
Step-by-step explanation:
I used a calculator to find this so I hope it helps :)
which equation represent this relation
Answer:
hello,
answer A c=n+2
Step-by-step explanation:
if n=0 then c=2
if n=2 then c=4
slope=m=(4-2)/(2-0) =2/2=1
c-2=1*(n-0)
c=n+2
help me please its confusing pleasee
Answer:
a) -8x³+x²+6x
d) 16x²-9
Step-by-step explanation:
a) -2x(x+4x²)+3(x²+2x)
Expand each bracket:
-2x(x+4x²)
As the -2x is on the outside of the bracket, you have to times everything inside the bracket by -2x.
-2x times x equals -2x²
-2x times 4x² equals -8x³
Then we expand the other bracket:
3(x²+2x)
3 times x² equals 3x²
3 times 2x equals 6x
We then put all of it together:
-2x²-8x³+3x²+6x
Collect like terms:
-8x³+x²+6x
b) (4x-3)(4x+3)
We will use the FOIL method:
F-First
O-outer
I-Inner
L-Last
Times the first two terms in each bracket:
4x times 4x equals 16x²
Times the outer terms in the bracket:
4x times 3 equals 12x
Times the inside terms in the bracket:
-3 times 4x equals -12x
Times the last terms in the bracket:
-3 times 3 equals -9
Put it together:
16x²+12x-12x-9
The 12x and -12x cancel out to leave 16x²-9
Hope this helps :)
find k so that x^2+2x+k is a factor of 2x^4+x^3-14x^2+5x+6. also find all the zeroes of the two polynomial
Compute the quotient and remainder,
[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}[/tex]
The remainder upon dividing [tex]2x^4+x^3-14x^2+5x+6[/tex] by [tex]x^2+2x+k[/tex] should leave no remainder, which means
[tex]21+7k = 0 \implies 21 = -7k \implies k=-3[/tex]
and
[tex]6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1[/tex]
Only k = -3 makes both remainder terms vanish.
Then the previous result reduces to
[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2[/tex]
so that
[tex]2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)[/tex]
and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.
50 points! please help!.
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]
equating corresponding value
opposite=-24
hypoyenuse=25
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
25²=(-24)²+x²
625=576+x²
x²=625-576
x=49
x=[tex]\sqrt{49}=7[/tex]
In IV quadrant
Cos angle is positive
Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{7}{25}[/tex]Answer:
cos theta = 7/25
Step-by-step explanation:
sin theta = opp / hyp
We can find the adj side by using the pythagorean theorem
adj ^2 + opp ^2 = hyp^2
adj^2 + (-24)^2 = 25^2
adj^2 +576 = 625
adj^2 =625 -576
adj^2 = 49
Taking the square root of each side
adj = 7
Since we are in the 4th quadrant, adj is positive
cos theta = adj / hyp
cos theta = 7/25
I NEEDDD HELPP ITS URGENTTT. !!
Answer:
use the information provided to write the standard form equation of the circle
1. ends of a diameter: (11,-6) and (1,14)
use the information provided to write the genral conic form equation of each circle.
1. three points of the circle:
( 7,-4)(-3,-4) and ( 6,-7)
identify the centere and radius. then sketch the graph
1. x^2+y^2-4x-14=0
225125 in base 6 divided by 101 in base 6
225125₆/101₆ = 2225₆
One way to arrive at this is to convert both given numbers to base 10, compute the quotient in base 10, then convert back to base 6.
101₆ = 1×6² + 0×6¹ + 1×6⁰ = 37
225125₆ = 2×6⁵ + 2×6⁴ + 5×6³ + 1×6² + 2×6¹ + 5×6⁰ = 19,277
So we have
225125₆/101₆ = 19,277/37 = 521
Next,
521 = 2×216 + 89 = 2×6³ + 89
89 = 2×36 + 17 = 2×6² + 17
17 = 2×12 + 5 = 2×6¹ + 5×6⁰
and so
521 = 2×6³ + 2×6² + 2×6¹ + 5×6⁰ = 2225₆
Or you can use the long division algorithm. Division in base 6 is the same as in base 10, except numerals range from 0 to 5 instead of 0 to 9. See if you can follow this diagram (replaced with an attachment)
